Уравнение
6sin^2x=5sinxcosx -cos^2x

6sin^2x-5sinxcosx+cos^2x=06sin^2x/cos^2x-(5sinxcosx/cos^2x)+cos^2x/cos^2x=06tg^2x-5tgx+1=0tgx=t6t^2-5t+1=0D=25-24=1x1=1/3 x2=1/2tgx=1/3 x=arctg1/3tgx=1/2. x=arctg1/2